I put this suggestion on the list. When you say On/Off you are referring to Video/Sleep modes, not completely booted down?
Personally I have my 4K hub powered by a Wemo wifi outlet that supports scheduling, and I scheduled it in a similar fashion. But this is completely removing power, not just Sleep/Video mode.
Oh, I meant whatever state it goes into when the attached micro USB port says "no power" or when I press OFF in the app. (sleep?)
You just gave me an idea. I can use a digital timer to achieve my desired result, in the meantime. Attached directly between the dreamscreen power jack and outlet.
EDIT: Oops, I forgot. My dreamscreeen is connected to monitor 2 output on my receiver and switching the dreamscreen power ON/OFF (not sleep) or unplugging the HDMI cable (while its on) causes the receiver to recalculate outputs and video will go dark for 2 seconds.
This also crashes windows media center (Live TV), if it is running. (I usually exit WMC live TV before unplugging in the dreamscreen power or HDMI cable).
So any solution has to be in SLEEP mode and not complete power OFF/ON.